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Finding the Third Proportional to 13,215.02 and 20,453.77

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Solution

The third proportional to 13,215.02 and 20,453.77 is: 31,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.02 : 20,453.77 = 20,453.77 : x
  2. Step 2: Convert to fraction form
    13,215.02/20,453.77 = 20,453.77/x
  3. Step 3: Cross multiply
    13,215.02x = 20,453.77 × 20,453.77
  4. Step 4: Simplify right side
    13,215.02x = 418,356,528.24
  5. Step 5: Solve for x
    x = 418,356,528.24/13,215.02
  6. Step 6: Final answer
    x = 31,657.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.